Triple

T17567053
Position Surface form Disambiguated ID Type / Status
Subject Georgy Voronoy E427840 entity
Predicate notableConcept P201 FINISHED
Object Voronoi partition
A Voronoi partition is a geometric decomposition of space into regions around a set of points such that each region consists of all locations closer to its defining point than to any other.
E1275356 NE FINISHED

How this triple was built (4 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Voronoi partition | Statement: [Georgy Voronoy, notableConcept, Voronoi partition]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Voronoi partition
Context triple: [Georgy Voronoy, notableConcept, Voronoi partition]
  • A. Delaunay
    Delaunay is a French surname most notably associated with Henri Delaunay, the football administrator who conceived the idea of the UEFA European Championship.
  • B. Chebyshev center
    The Chebyshev center is a concept in geometry and optimization referring to the center of the smallest-radius ball that encloses a given set.
  • C. Minkowski sum
    The Minkowski sum is a fundamental operation in geometry and convex analysis that combines two sets by adding every vector in one set to every vector in the other, widely used in areas such as optimization, robotics, and computational geometry.
  • D. On Divisions of Figures
    On Divisions of Figures is an ancient mathematical treatise attributed to Euclid that systematically studies how geometric figures can be divided into parts with specified ratios or properties.
  • E. Regular Division of the Plane
    Regular Division of the Plane is a series of graphic works by M. C. Escher exploring intricate, interlocking tessellations that completely cover the plane with repeating figures.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Voronoi partition
Triple: [Georgy Voronoy, notableConcept, Voronoi partition]
Generated description
A Voronoi partition is a geometric decomposition of space into regions around a set of points such that each region consists of all locations closer to its defining point than to any other.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Voronoi partition
Target entity description: A Voronoi partition is a geometric decomposition of space into regions around a set of points such that each region consists of all locations closer to its defining point than to any other.
  • A. Delaunay
    Delaunay is a French surname most notably associated with Henri Delaunay, the football administrator who conceived the idea of the UEFA European Championship.
  • B. Chebyshev center
    The Chebyshev center is a concept in geometry and optimization referring to the center of the smallest-radius ball that encloses a given set.
  • C. Minkowski sum
    The Minkowski sum is a fundamental operation in geometry and convex analysis that combines two sets by adding every vector in one set to every vector in the other, widely used in areas such as optimization, robotics, and computational geometry.
  • D. On Divisions of Figures
    On Divisions of Figures is an ancient mathematical treatise attributed to Euclid that systematically studies how geometric figures can be divided into parts with specified ratios or properties.
  • E. Regular Division of the Plane
    Regular Division of the Plane is a series of graphic works by M. C. Escher exploring intricate, interlocking tessellations that completely cover the plane with repeating figures.
  • F. None of above. chosen

Provenance (5 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69d889e0385081908a04b66f4dd4bd0d completed April 10, 2026, 5:25 a.m.
NER Named-entity recognition batch_69e4592da1bc8190968f895e579771ed completed April 19, 2026, 4:25 a.m.
NED1 Entity disambiguation (via context triple) batch_6a01d29a14288190b5b665c5450b7c18 completed May 11, 2026, 12:59 p.m.
NEDg Description generation batch_6a01d43430d481909b07d8ecc09a185f completed May 11, 2026, 1:05 p.m.
NED2 Entity disambiguation (via description) batch_6a01d4c609fc819089147744317d4be3 completed May 11, 2026, 1:08 p.m.
Created at: April 10, 2026, 5:50 a.m.